Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#18012739 |
| Sylow | C151 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#23751957, C2×#23751959, C2×#23751960, … |
| maximal normal subgroup of | C2×#23751957, C2×#23751959, C2×#23751960, … |
| maximal quotient of | C2×#23752082, C2×#23752110, C2×#23752118, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1093);